Removed line numbers in figures
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@@ -18,7 +18,7 @@ The \sdlog game is a variant of the discrete logarithm game that represents the
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\begin{figure}[h]
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\hrule
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\vspace{1mm}
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\begin{algorithmic}[1]
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\begin{algorithmic}
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\Statex \underline{\game \sdlog}
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\State $a \randomsample \{ 2^{n-1}, 2^{n-1} + 2^c, ..., 2^{n} - 2^c \}$
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\State $\groupelement{A} \assign a \groupelement{B}$
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@@ -46,7 +46,7 @@ The adversary must call the \ioracle oracle with a commitment $\groupelement{R}$
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\hrule
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\begin{multicols}{2}
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\large
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\begin{algorithmic}[1]
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\begin{algorithmic}
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\Statex \underline{\game $G_0$ / \textcolor{blue}{$G_1$} / \textcolor{red}{$G_2$}}
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\State $a \randomsample \{2^{n-1}, 2^{n-1} + 8, ..., 2^n - 8\}$
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\State $\groupelement{A} \assign a \groupelement{B}$
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@@ -121,7 +121,7 @@ The adversary must call the \ioracle oracle with a commitment $\groupelement{R}$
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\hrule
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\begin{multicols}{2}
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\large
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\begin{algorithmic}[1]
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\begin{algorithmic}
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\Statex \underline{\textbf{Adversary} $\adversary{B}(\groupelement{A})$}
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\State $s^* \randomassign \adversary{A}^{\ioracle(\inp)}(\groupelement{A})$
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\State \textbf{If} $\nexists \agmgroupelement{R^*}{r^*}, \ch^*: \groupelement{R}^* = 2^c (s^* \groupelement{B} - \ch^* \groupelement{A}) \wedge (\agmgroupelement{R^*}{r^*}, \ch^*) \in \pset{Q}$ \textbf{then}
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@@ -130,7 +130,7 @@ The adversary must call the \ioracle oracle with a commitment $\groupelement{R}$
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\State \Return $(2^c s^* - r_1)(r_2 + 2^c \ch^*)^{-1}$
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\end{algorithmic}
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\columnbreak
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\begin{algorithmic}[1]
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\begin{algorithmic}
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\Statex \underline{\oracle \ioracle($\agmgroupelement{R_i}{r_i} \in \group{G}$)}
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\State Let $\groupelement{R}_i = r_1 \groupelement{B} + r_2 \groupelement{A}$
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\State $\ch_i \randomsample \{0,1\}^{2b}$
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